Cauchy problems for chemotaxis systems with chemo attractant and repellent
| dc.contributor.author | Lagha, Aesha | |
| dc.contributor.author | Hattori, Harumi | |
| dc.date.accessioned | 2023-04-18T15:44:39Z | |
| dc.date.available | 2023-04-18T15:44:39Z | |
| dc.date.issued | 2022-07-05 | |
| dc.description.abstract | We study the existence of global solutions and their asymptotic behavior for a chemotaxis system with chemo-attractant and repellent in three dimensions. To accomplish this, we use the Fourier transform and energy method. First, we establish Lq time-decay for the linear homogeneous system using Fourier transform and finding Green's matrix. Then, we find Lq time-decay for the nonlinear system using the Duhamel's principle and the time-weighted estimates. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lagha, A., & Hattori, H. (2022). Cauchy problems for chemotaxis systems with chemo attractant and repellent. <i>Electronic Journal of Differential Equations, 2022</i>(48), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16607 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Energy method | |
| dc.subject | A priori estimates | |
| dc.subject | Fourier transform | |
| dc.subject | Time-decay rates | |
| dc.title | Cauchy problems for chemotaxis systems with chemo attractant and repellent | en_US |
| dc.type | Article |